Weight Balance
Algebra
Level
2
A certain weight can balance either 5 alphas or 6 betas.If 10 weights are used,then 15 alphas and how many betas are needed to balance the scale?
The answer is 42.
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1 solution
42.Ten weights will balance either 50 alphas or 60 betas.We have 15 alphas,leaving the balance 35 short,so we need to determine the correct number of betas.Alphas are in ratio of 5 to 6 betas.So 6/5 multiplied by 35 is 42.